Hi!
The first number line is equals to 
The second number line is equals to 
The third number line is equals to 
The fourth number line is equals to 2
The fifth number line is equals to 0
The sixth number line is 
The answer is; second, fourth and fifth number lines.
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The probability that you will wait for at most 5 seconds is 6.7%
<h3>How to determine the probability?</h3>
The given parameters are:
Green = 40
Yellow = 5
Red = 30
When you spend a maximum of 5 seconds, it means that you get to the traffic light at the yellow cycle.
The probability is then calculated as:
P(Yellow) = 5/(40 + 5 + 30)
Evaluate
P(Yellow) = 6.7%
Hence, the probability that you will wait for at most 5 seconds is 6.7%
Read more about probability at:
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Answer:
π
2
,
3
⋅
π
2
,
3
⋅
π
4
,
7
⋅
π
4
Explanation:
Factorizing your equation we get
cot
(
x
)
=
0
so
cos
(
x
)
=
0
we get the following Solutions in the given interval
x
=
π
72
or
x
=
3
π
2
for the second case we get
cot
(
x
)
=
−
1
so
cos
(
x
)
=
−
sin
(
x
)
and we get
x
=
3
π
4
or
x
=
7
π
4
Hint:
To get the Solutions of the last equation you can use
√
sin
(
x
+
π
4
)
=
0
Step-by-step explanation:
In July:
First week:
Number of people went to the local swimming pool =1040
Second week:
110 fewer people went to the pool than in the first week
so,
Number of people went to the local swimming pool =1040-110
=930
Third week:
130 more people went to the pool than in the second week
so,
Number of people went to the local swimming pool =930+130
=1060
Fourth week:
228 fewer people went to the pool than in the third week
so,
Number of people went to the local swimming pool =1060-228
=832
Decrease in number of people over four week= number of people in first week - number of people in fourth week
Decrease in number of people over four week=1040-832
=208
now, we can find percentage
Percentage is
=20%.........Answer
Angle UTV is basically given: it's 138°.
Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°